Finding the Third Proportional to 102,853.50 and 156,648

Step by Step Solution

1. Step 1: Write the proportion equation
   102,853.50 : 156,648 = 156,648 : x
2. Step 2: Convert to fraction form
   102,853.50/156,648 = 156,648/x
3. Step 3: Cross multiply
   102,853.50x = 156,648 × 156,648
4. Step 4: Simplify right side
   102,853.50x = 24,538,595,904
5. Step 5: Solve for x
   x = 24,538,595,904/102,853.50
6. Step 6: Final answer
   x = 238,578.13